The actual dimensions of a rectangle are 5ft by 3ft. Eric measures the sides to be 4.99ft by 3.36ft. In calculating the area, what is the relative error, to the nearest thousandth. Answer:

Calculate actual area: Calculate the actual area of the rectangle using the actual dimensions. Actual area = length × width = 5ft × 3ft = 15ft².Calculate measured area: Calculate the measured area of the rectangle using the measured dimensions. Measured area = length × width = 4.99ft × 3.36ft. Measured area = 16.7624ft².Calculate absolute error: Calculate the absolute error by subtracting the actual area from the measured area. Absolute error = |Measured area - Actual area| = |16.7624ft² - 15ft²|. Absolute error = 1.7624ft².Calculate relative error: Calculate the relative error by dividing the absolute error by the actual area and then multiplying by 100 to get the percentage. Relative error = (Absolute error / Actual area) × 100. Relative error = (1.7624ft² / 15ft²) × 100. Relative error = 0.11749333... × 100. Relative error = 11.749333...%.Round relative error: Round the relative error to the nearest thousandth. Relative error ≈ 11.749%.

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The actual dimensions of a rectangle are
5ft by
3ft. Eric measures the sides to be
4.99ft by
3.36ft. In calculating the area, what is the relative error, to the nearest thousandth.
Answer:

The actual dimensions of a rectangle are $5 \mathrm{ft}$ by $3 \mathrm{ft}$ . Eric measures the sides to be $4.99 \mathrm{ft}$ by $3.36 \mathrm{ft}$ . In calculating the area, what is the relative error, to the nearest thousandth. $\newline$ Answer:

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Q. The actual dimensions of a rectangle are

5 \mathrm{ft}

3 \mathrm{ft}

. Eric measures the sides to be

4.99 \mathrm{ft}

3.36 \mathrm{ft}

. In calculating the area, what is the relative error, to the nearest thousandth.

\newline

Answer:

Calculate actual area: Calculate the actual area of the rectangle using the actual dimensions. $\newline$ Actual area = length $\times$ width = $5$ ft $\times$ $3$ ft = $15$ ft $^2$ .
Calculate measured area: Calculate the measured area of the rectangle using the measured dimensions. $\newline$ Measured area = $\text{length} \times \text{width} = 4.99\,\text{ft} \times 3.36\,\text{ft}$ . $\newline$ Measured area = $16.7624\,\text{ft}^2$ .
Calculate absolute error: Calculate the absolute error by subtracting the actual area from the measured area. $\newline$ Absolute error = $|\text{Measured area} - \text{Actual area}| = |16.7624\,\text{ft}^2 - 15\,\text{ft}^2|$ . $\newline$ Absolute error = $1.7624\,\text{ft}^2$ .
Calculate relative error: Calculate the relative error by dividing the absolute error by the actual area and then multiplying by $100$ to get the percentage. $\newline$ Relative error = $(\text{Absolute error} / \text{Actual area}) \times 100$ . $\newline$ Relative error = $(1.7624\,\text{ft}^2 / 15\,\text{ft}^2) \times 100$ . $\newline$ Relative error = $0.11749333\ldots \times 100$ . $\newline$ Relative error = $11.749333\ldots\%$ .
Round relative error: Round the relative error to the nearest thousandth. $\newline$ Relative error $\approx 11.749\%$ .